1. You are processing maple syrup, which has a density of 1.4g/ml and a viscosity of 200cP. Because of the fluid mechanics of storage tank draining, 1mm air bubbles become entrained within the syrup, causing downstream problems. You are analyzing the fluid mechanics around these bubbles to try to determine the impact of these bubbles on your process. Assume the average syrup velocity in a 3cm diameter pipe is 0.1m/s directed orthogonally to the force of gravity, meaning the pipe is a horizontal pipe. a. Is pipe flow of this syrup laminar or turbulent? b. The draining from the tank can be thought of as a sudden contraction, where flow that is parallel enters a pipe and must rearrange to form fully developed flow. Calculate the entrance length for this system. c. Is this an example of creeping flow around a sphere? Assume the bubble is in the middle of flow. d. Write force balances for this system in both the direction of gravity and of flow. Just write the force balance, but don't specify what the forces are. e. Focusing on the force balance in the direction of flow, calculate the form drag force and skin friction drag force